Self-similar Solutions for the Emergence of Energy-varying Shock Waves from Plane-parallel Atmospheres
Self-similar Solutions for the Emergence of Energy-varying Shock Waves from Plane-parallel Atmospheres
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DOI：
10.1086/513504
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发表时间：
2007-02
期刊：
影响因子：
--
通讯作者：
A. Suzuki;T. Shigeyama
中科院分区：
文献类型：
--
作者：
A. Suzuki;T. Shigeyama
我们提出了一个自相似的解决方案来描述的冲击波的传播，其能量沉积或损失在前面。用拉格朗日坐标描述了激波在幂律密度分布介质中的传播和激波爆发后介质向真空的膨胀。Chapman-Jouguet爆轰被发现最有效地加速介质。与文献中的一些数值模拟的结果进行了比较。在某些特定情况下，我们推导出在冲击波前的沉积/损失能量的分数，这将是有用的，当应用这种解决方案的实际现象。
We present a self-similar solution to describe the propagation of a shock wave whose energy is deposited or lost at the front. The propagation of the shock wave in a medium having a power-law density profile and the expansion of the medium to a vacuum after the shock breakout are both described with a Lagrangian coordinate. The Chapman-Jouguet detonation is found to accelerate the medium most effectively. The results are compared with some numerical simulations in the literature. We derive the fractions of the deposited/lost energy at the shock front in some specific cases, which will be useful when applying this solution to actual phenomena.